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Finding the Fourth Proportional to 256,608,043.20, 384,912,064.80 and 65,131,819.20

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Solution

The fourth proportional to 256,608,043.20, 384,912,064.80 and 65,131,819.20 is: 97,697,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,608,043.20 : 384,912,064.80 = 65,131,819.20 : x
  2. Step 2: Convert to fraction form
    256,608,043.20/384,912,064.80 = 65,131,819.20/x
  3. Step 3: Cross multiply
    256,608,043.20x = 384,912,064.80 × 65,131,819.20
  4. Step 4: Simplify right side
    256,608,043.20x = 25,070,023,012,452,288
  5. Step 5: Solve for x
    x = 25,070,023,012,452,288/256,608,043.20
  6. Step 6: Final answer
    x = 97,697,728.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.